Modeling dispenser placement - Figures

Contents

Table 1 - Balance of Eligibility Criteria in EA period

Balance of Eligibility Criteria in EA period
Variable N Mean N Mean Test
Treatment Control Treatment
Flow rate not too low 3813 3601 X2=0.466
… No 148 0.04 152 0.04
… Yes 3665 0.96 3449 0.96
Not turbid 3902 3670 X2=4.756**
… No 616 0.16 649 0.18
… Yes 3286 0.84 3021 0.82
Not dry for ≥ 9 mo. 3913 3671 X2=1.932
… No 222 0.06 181 0.05
… Yes 3691 0.94 3490 0.95
Used by ≥ 10 households per year 3898 3682 X2=17.641***
… No 1992 0.51 1703 0.46
… Yes 1906 0.49 1979 0.54
Has a dispenser according 2019-2021 census 3947 3694 X2=1126.281***
… No 3907 0.99 2675 0.72
… Yes 40 0.01 1019 0.28
Within 100m of an EA dispenser 3947 3694 X2=975.491***
… No 3911 0.99 2793 0.76
… Yes 36 0.01 901 0.24
Has census-reported dispenser + EA dispenser within 100m 3947 3694 X2=732.658***
… No 3927 0.99 3014 0.82
… Yes 20 0.01 680 0.18
num. of eligibility criteria met 3947 3694 X2=21.544***
… 0 11 0 8 0
… 1 75 0.02 59 0.02
… 2 508 0.13 485 0.13
… 3 1955 0.5 1658 0.45
… 4 1398 0.35 1484 0.4
Eligible 3947 3694 X2=18.156***
… No 2549 0.65 2210 0.6
… Yes 1398 0.35 1484 0.4

Table 2 - Balance of Eligibility Criteria in WASH B period

Balance of Eligibility Criteria in WASH B period
Variable N Mean N Mean Test
Treatment Control Treatment
Use by more than 1 compound 5313 5096 X2=0.02
… No 2617 0.49 2502 0.49
… Yes 2696 0.51 2594 0.51
Not dry or turbid for more than 4 months 5313 5096 X2=0.128
… No 501 0.09 492 0.1
… Yes 4812 0.91 4604 0.9
Primary source of an enrolled woman 5313 5096 X2=0.175
… No 3906 0.74 3727 0.73
… Yes 1407 0.26 1369 0.27
Within 100m of an IPA dispenser 5313 5096 X2=863.004***
… No 5298 1 4289 0.84
… Yes 15 0 807 0.16
num. of eligibility criteria met 5313 5096 X2=0.559
… 0 293 0.06 275 0.05
… 1 2257 0.42 2180 0.43
… 2 1631 0.31 1536 0.3
… 3 1132 0.21 1105 0.22
Eligible 5313 5096 X2=0.198
… No 4181 0.79 3991 0.78
… Yes 1132 0.21 1105 0.22

Table 3 - Correlation of eligibility criteria and dispenser placement (2019-2021 Census)

Correlation of eligibility criteria and dispenser placement (2019-2021 Census)
Flow rate not too low Not turbid Not dry for ≥ 9 mo. ≥ 10 h.h. used p.a Has a dispenser
Flow rate not too low 1.000 0.011 0.106 -0.037 -0.023
Not turbid 0.011 1.000 0.023 -0.014 -0.024
Not dry for ≥ 9 mo. 0.106 0.023 1.000 0.029 0.032
≥ 10 h.h. used p.a -0.037 -0.014 0.029 1.000 0.247
Has a dispenser -0.023 -0.024 0.032 0.247 1.000

Table 4 - Correlation of eligibility criteria and dispenser placement (WASH B)

Correlation of eligibility criteria and dispenser placement (WASH B)
Use ≥ 1 compound Not dry or turbid for ≥ 4 months Primary source of an enrolled woman Has a dispenser
Use ≥ 1 compound 1.000 0.084 0.427 0.239
Not dry or turbid for ≥ 4 months 0.084 1.000 0.035 0.082
Primary source of an enrolled woman 0.427 0.035 1.000 0.350
Has a dispenser 0.239 0.082 0.350 1.000

Table 5 - Turbidity and dryness across periods

Turbidity and dryness across periods
Variable Percentage of water sources matched across periods that had the same value in both periods
Does the water source ever look like tea with milk? 72.58
How many months a year is the water source usually dry? 70.53
How many months a year is the water source usually turbid? 69.71

Table 6 - Balance table of matched sources over time

Table 6A - Balance of Matched Sources in WASH B period

Balance of Matched Sources in WASH B period
Variable N Mean SD N Mean SD Test
Treatment Control Treatment
Number of households using source 1972 7 12 1934 6.5 10 F=2.109
Is the source ever turbid? 1942 1907 X2=2.794*
… No 1632 0.84 1563 0.82
… Yes 310 0.16 344 0.18
Source was not dry for more than 4 months a year 1972 1934 X2=2.459
… No 120 0.06 143 0.07
… Yes 1852 0.94 1791 0.93
Total number of dry months 1972 0.27 0.9 1934 0.31 0.98 F=1.594
Total number of turbid months 1972 0.64 1.8 1934 0.77 2 F=4.67**
WASH B dispenser

Table 6B - Balance of Matched Sources in EA period

Balance of Matched Sources in EA period
Variable N Mean SD N Mean SD Test
Treatment Control Treatment
Weighted average of households using source 1952 26 44 1932 25 37 F=0.987
Is the source ever turbid? 1972 1934 X2=0.315
… No 1593 0.81 1569 0.81
… Yes 364 0.18 353 0.18
… Don’t know/Unable to observe 15 0.01 12 0.01
Source was not dry for more than 4 months a year 1956 1921 X2=0.809
… No 173 0.09 187 0.1
… Yes 1783 0.91 1734 0.9
Total number of dry months 1959 0.61 1.3 1923 0.56 1.3 F=1.465
Total number of turbid months 1957 0.68 1.6 1921 0.69 1.7 F=0.063
2019-2021 Census-reported dispenser 1972 1934 X2=849.049***
… No 1945 0.99 1188 0.61
… Yes 27 0.01 746 0.39

Table 7 - Balance table by proximity to a dispenser

Balance of water source charcteristics by distance to a dispenser
Variable N Mean SD N Mean SD Test
Proximity Nearest dispenser is ≥ 1km away Within 200m of a dispenser
Flow rate not too low 2074 829 X2=0.116
… No 85 0.04 31 0.04
… Yes 1989 0.96 798 0.96
Not turbid 2110 840 X2=0.002
… No 326 0.15 131 0.16
… Yes 1784 0.85 709 0.84
Not dry for ≥ 9 mo. 2114 842 X2=0.37
… No 127 0.06 45 0.05
… Yes 1987 0.94 797 0.95
Used by ≥ 10 households per year 2120 843 X2=11.306***
… No 1106 0.52 498 0.59
… Yes 1014 0.48 345 0.41
Weighted average of households using source per year 2128 25 47 843 16 26 F=31***
num. of eligibility criteria met 2129 846 X2=3.55
… 0 2 0 1 0
… 1 39 0.02 18 0.02
… 2 258 0.12 110 0.13
… 3 1101 0.52 457 0.54
… 4 729 0.34 260 0.31
Eligible 2129 846 X2=3.202*
… No 1400 0.66 586 0.69
… Yes 729 0.34 260 0.31

Table 8 - Rates of actual vs predicted values on test set using Bayesian models

Table 8A - Rates of actual vs predicted values on test set using single-period Bayesian models

Rates of actual vs predicted values on test set using single-period Bayesian models
Period Model Outcome False Negative Rate True negative Rate
WASH B Eligible Has IPA dispenser 20.56 87.85
WASH B num. of criteria met Has IPA dispenser 20.56 87.85
WASH B Individual criteria Has IPA dispenser 20.56 87.85
EA Eligible Has census-reported dispenser 100.00 100.00
EA num. of criteria met Has census-reported dispenser 100.00 100.00
EA Individual criteria Has census-reported dispenser 96.93 97.31
EA Eligible EA dispenser within 100m 100.00 100.00
EA num. of criteria met EA dispenser within 100m 100.00 100.00
EA Individual criteria EA dispenser within 100m 100.00 100.00
EA Eligible Has census-reported dispenser + EA dispenser within 100m 100.00 100.00
EA num. of criteria met Has census-reported dispenser + EA dispenser within 100m 100.00 100.00
EA Individual criteria Has census-reported dispenser + EA dispenser within 100m 100.00 100.00

Table 8B - Rates of actual vs predicted values on test set using WASH B and EA combined models Bayesian models

Rates of actual vs predicted values on test set using WASH B and EA combined models Bayesian models
Type of WASH B addition Model Outcome False Negative Rate True negative Rate
Actual WASH B dispenser placement Eligible Has census-reported dispenser 57.67 97.56
Actual WASH B dispenser placement num. of criteria met Has census-reported dispenser 57.67 97.56
Actual WASH B dispenser placement Individual criteria Has census-reported dispenser 57.67 97.56
Actual WASH B dispenser placement Eligible EA dispenser within 100m 66.44 93.14
Actual WASH B dispenser placement num. of criteria met EA dispenser within 100m 69.13 94.09
Actual WASH B dispenser placement Individual criteria EA dispenser within 100m 71.14 95.27
Actual WASH B dispenser placement Eligible Has census-reported dispenser + EA dispenser within 100m 70.54 95.87
Actual WASH B dispenser placement num. of criteria met Has census-reported dispenser + EA dispenser within 100m 62.50 93.70
Actual WASH B dispenser placement Individual criteria Has census-reported dispenser + EA dispenser within 100m 65.18 94.78
Predicted WASH B dispenser placement Eligible Has census-reported dispenser 61.35 93.15
Predicted WASH B dispenser placement num. of criteria met Has census-reported dispenser 63.19 94.13
Predicted WASH B dispenser placement Individual criteria Has census-reported dispenser 66.26 96.58
Predicted WASH B dispenser placement Eligible EA dispenser within 100m 73.15 95.98
Predicted WASH B dispenser placement num. of criteria met EA dispenser within 100m 73.15 95.98
Predicted WASH B dispenser placement Individual criteria EA dispenser within 100m 68.46 95.04
Predicted WASH B dispenser placement Eligible Has census-reported dispenser + EA dispenser within 100m 68.75 95.22
Predicted WASH B dispenser placement num. of criteria met Has census-reported dispenser + EA dispenser within 100m 68.75 95.22
Predicted WASH B dispenser placement Individual criteria Has census-reported dispenser + EA dispenser within 100m 63.39 94.57

Table 9 - Frequency of predicted probability of dispenser placement using Bayesian models in WASH B period

Model Predicted probability (rounded to 3 decimals) Control Treatment Total number of sources Percentage of all sources Cumulative percentage
Eligible 0.044 4181 3991 8172 78.51 78.51
Eligible 0.576 1132 1105 2237 21.49 100.00
num. of criteria met 0.001 293 275 568 5.46 5.46
num. of criteria met 0.013 2257 2180 4437 42.63 48.08
num. of criteria met 0.113 1631 1536 3167 30.43 78.51
num. of criteria met 0.551 1132 1105 2237 21.49 100.00
Individual criteria 0.002 293 275 568 5.46 5.46
Individual criteria 0.012 100 109 209 2.01 7.46
Individual criteria 0.017 2131 2054 4185 40.21 47.67
Individual criteria 0.024 26 17 43 0.41 48.08
Individual criteria 0.094 1382 1289 2671 25.66 73.74
Individual criteria 0.129 82 91 173 1.66 75.41
Individual criteria 0.174 167 156 323 3.10 78.51
Individual criteria 0.558 1132 1105 2237 21.49 100.00

Table 10 - Balance table of average probability of dispenser placement in WASH B period using Bayesian models

Average Probability of Dispenser Placement
Treatment Group
Control
Treatment
Variable N Mean SD N Mean SD Test
Eligible (wb_i-iv) 5313 0.16 0.22 5096 0.16 0.22 t=-0.47
num. of criteria met 5313 0.16 0.21 5096 0.16 0.21 t=-0.36
Individual criteria 5313 0.16 0.21 5096 0.16 0.21 t=-0.39
Statistical significance markers: * p<0.1; ** p<0.05; *** p<0.01

Table 11 - Bayesian model performance comparison

Table 11A - Bayesian model performance comparison for single-period models

Bayesian model performance comparison for single-period models
Period Model Outcome ELPD
WASH B Eligible Has IPA dispenser -1274.15
WASH B num. of criteria met Has IPA dispenser -1262.92
WASH B Individual criteria Has IPA dispenser -1259.43
EA period Eligible Has census-reported dispenser -1804.40
EA period num. of criteria met Has census-reported dispenser -1816.82
EA period Individual criteria Has census-reported dispenser -1660.67
EA period Eligible EA dispenser within 100m -1738.22
EA period num. of criteria met EA dispenser within 100m -1744.51
EA period Individual criteria EA dispenser within 100m -1651.51
EA period Eligible Has census-reported dispenser + EA dispenser within 100m -1464.86
EA period num. of criteria met Has census-reported dispenser + EA dispenser within 100m -1471.57
EA period Individual criteria Has census-reported dispenser + EA dispenser within 100m -1362.41

Table 11B - Bayesian model performance comparison for combined WASH B and EA period models

Bayesian model performance comparison for combined WASH B and EA period models
Type of WASH B addition Model Outcome ELPD
Predicted WASH B dispenser placement Eligible Has census-reported dispenser -1485.76
Predicted WASH B dispenser placement num. of criteria met Has census-reported dispenser -1475.94
Predicted WASH B dispenser placement Individual criteria Has census-reported dispenser -1372.35
Predicted WASH B dispenser placement Eligible EA dispenser within 100m -1542.68
Predicted WASH B dispenser placement num. of criteria met EA dispenser within 100m -1534.92
Predicted WASH B dispenser placement Individual criteria EA dispenser within 100m -1471.68
Predicted WASH B dispenser placement Eligible Has census-reported dispenser + EA dispenser within 100m -1247.82
Predicted WASH B dispenser placement num. of criteria met Has census-reported dispenser + EA dispenser within 100m -1238.66
Predicted WASH B dispenser placement Individual criteria Has census-reported dispenser + EA dispenser within 100m -1164.16
Actual WASH B dispenser placement Eligible Has census-reported dispenser -1376.44
Actual WASH B dispenser placement num. of criteria met Has census-reported dispenser -1376.31
Actual WASH B dispenser placement Individual criteria Has census-reported dispenser -1269.91
Actual WASH B dispenser placement Eligible EA dispenser within 100m -1488.56
Actual WASH B dispenser placement num. of criteria met EA dispenser within 100m -1487.59
Actual WASH B dispenser placement Individual criteria EA dispenser within 100m -1424.38
Actual WASH B dispenser placement Eligible Has census-reported dispenser + EA dispenser within 100m -1204.24
Actual WASH B dispenser placement num. of criteria met Has census-reported dispenser + EA dispenser within 100m -1202.96
Actual WASH B dispenser placement Individual criteria Has census-reported dispenser + EA dispenser within 100m -1124.44

Table 11C - Bayesian model performance comparison for EA models with distance variables

Bayesian model performance comparison for combined EA period models with distance variables
Model Outcome Distance variable ELPD
Eligible Has census-reported dispenser Dist. to nearest eligible source with a dispenser -1740.02
Eligible EA dispenser within 100m Dist. to nearest eligible source with a dispenser -1676.56
Eligible Has census-reported dispenser + EA dispenser within 100m Dist. to nearest eligible source with a dispenser -1412.74
num. of criteria met Has census-reported dispenser Dist. to nearest eligible source without a dispenser -1724.80
num. of criteria met EA dispenser within 100m Dist. to nearest eligible source without a dispenser -1667.68
num. of criteria met Has census-reported dispenser + EA dispenser within 100m Dist. to nearest eligible source without a dispenser -1397.98
Individual criteria Has census-reported dispenser Dist. to nearest eligible source with a dispenser -1750.62
Individual criteria Has census-reported dispenser Dist. to nearest eligible source without a dispenser -1736.17
Individual criteria Has census-reported dispenser Dist. to nearest eligible source with a dispenser -1591.01
Individual criteria Has census-reported dispenser Dist. to nearest eligible source without a dispenser -1581.14
Individual criteria EA dispenser within 100m Dist. to nearest eligible source with a dispenser -1681.54
Individual criteria EA dispenser within 100m Dist. to nearest eligible source without a dispenser -1672.24
Individual criteria EA dispenser within 100m Dist. to nearest eligible source with a dispenser -1585.94
Individual criteria EA dispenser within 100m Dist. to nearest eligible source without a dispenser -1581.98
Individual criteria Has census-reported dispenser + EA dispenser within 100m Dist. to nearest eligible source with a dispenser -1417.03
Individual criteria Has census-reported dispenser + EA dispenser within 100m Dist. to nearest eligible source without a dispenser -1402.70
Individual criteria Has census-reported dispenser + EA dispenser within 100m Dist. to nearest eligible source with a dispenser -1305.71
Individual criteria Has census-reported dispenser + EA dispenser within 100m Dist. to nearest eligible source without a dispenser -1295.75

Table 11D - Bayesian model performance comparison for best EA models

Bayesian model performance comparison for best EA period models
Outcome ELPD
Has census-reported dispenser -1365.35
EA dispenser within 100m -1467.98
Has census-reported dispenser + EA dispenser within 100m -1156.81

Table 12 - Balance table of average probability of dispenser placement in EA period using Bayesian models

Average Probability of Dispenser Placement
Treatment Group
Control
Treatment
Variable N Mean SD N Mean SD Test
Eligible (ea-i, ea-ii-v) (census-reported) 3947 0.26 0.11 3694 0.27 0.11 t=-4.29***
num. of criteria met (census-reported) 3947 0.27 0.097 3694 0.27 0.099 t=-3.49***
Individual criteria (census-reported) 3947 0.26 0.16 3694 0.27 0.15 t=-4.56***
Eligible (ea-i, ea-iii-v) (100m from EA dispenser) 3947 0.23 0.074 3694 0.24 0.076 t=-4.29***
num. of criteria met (100m from EA dispenser) 3947 0.24 0.068 3694 0.24 0.069 t=-3.43***
Individual criteria (100m from EA dispenser) 3947 0.23 0.1 3694 0.24 0.1 t=-4.71***
Eligible (ea-i, ea-iii-v) (100m from EA dispenser) 3947 0.17 0.08 3694 0.18 0.082 t=-4.29***
num. of criteria met (census-reported + 100m from EA dispenser) 3947 0.18 0.074 3694 0.18 0.076 t=-3.61***
Individual criteria (census-reported + 100m from EA dispenser) 3947 0.17 0.11 3694 0.18 0.11 t=-4.7***
Statistical significance markers: * p<0.1; ** p<0.05; *** p<0.01

Table 13 - Frequency of predicted probability of dispenser placement using Bayesian models in EA period

Model Predicted probability (rounded to 3 decimals) Outcome Control Treatment Total number of sources Percentage of all sources Cumulative percentage
Eligible 0.184 Has census-reported dispenser 2549 2210 4759 62.28 62.28
Eligible 0.408 Has census-reported dispenser 1398 1484 2882 37.72 100.00
num. of criteria met 0.031 Has census-reported dispenser 11 8 19 0.25 0.25
num. of criteria met 0.062 Has census-reported dispenser 75 59 134 1.75 2.00
num. of criteria met 0.123 Has census-reported dispenser 508 485 993 13.00 15.00
num. of criteria met 0.228 Has census-reported dispenser 1955 1658 3613 47.28 62.28
num. of criteria met 0.386 Has census-reported dispenser 1398 1484 2882 37.72 100.00
Individual criteria 0.074 Has census-reported dispenser 89 62 151 1.98 1.98
Individual criteria 0.084 Has census-reported dispenser 28 28 56 0.73 2.71
Individual criteria 0.106 Has census-reported dispenser 1529 1230 2759 36.11 38.82
Individual criteria 0.116 Has census-reported dispenser 20 15 35 0.46 39.27
Individual criteria 0.119 Has census-reported dispenser 263 281 544 7.12 46.39
Individual criteria 0.130 Has census-reported dispenser 11 8 19 0.25 46.64
Individual criteria 0.163 Has census-reported dispenser 85 77 162 2.12 48.76
Individual criteria 0.182 Has census-reported dispenser 16 14 30 0.39 49.16
Individual criteria 0.314 Has census-reported dispenser 51 43 94 1.23 50.39
Individual criteria 0.342 Has census-reported dispenser 27 23 50 0.65 51.04
Individual criteria 0.407 Has census-reported dispenser 1398 1484 2882 37.72 88.76
Individual criteria 0.426 Has census-reported dispenser 19 23 42 0.55 89.31
Individual criteria 0.438 Has census-reported dispenser 280 298 578 7.56 96.87
Individual criteria 0.457 Has census-reported dispenser 11 2 13 0.17 97.04
Individual criteria 0.527 Has census-reported dispenser 95 87 182 2.38 99.42
Individual criteria 0.558 Has census-reported dispenser 25 19 44 0.58 100.00
Eligible 0.179 EA dispenser within 100m 2549 2210 4759 62.28 62.28
Eligible 0.333 EA dispenser within 100m 1398 1484 2882 37.72 100.00
num. of criteria met 0.049 EA dispenser within 100m 11 8 19 0.25 0.25
num. of criteria met 0.082 EA dispenser within 100m 75 59 134 1.75 2.00
num. of criteria met 0.133 EA dispenser within 100m 508 485 993 13.00 15.00
num. of criteria met 0.211 EA dispenser within 100m 1955 1658 3613 47.28 62.28
num. of criteria met 0.318 EA dispenser within 100m 1398 1484 2882 37.72 100.00
Individual criteria 0.108 EA dispenser within 100m 89 62 151 1.98 1.98
Individual criteria 0.120 EA dispenser within 100m 28 28 56 0.73 2.71
Individual criteria 0.124 EA dispenser within 100m 20 15 35 0.46 3.17
Individual criteria 0.129 EA dispenser within 100m 1529 1230 2759 36.11 39.27
Individual criteria 0.137 EA dispenser within 100m 11 8 19 0.25 39.52
Individual criteria 0.143 EA dispenser within 100m 263 281 544 7.12 46.64
Individual criteria 0.148 EA dispenser within 100m 85 77 162 2.12 48.76
Individual criteria 0.163 EA dispenser within 100m 16 14 30 0.39 49.16
Individual criteria 0.286 EA dispenser within 100m 51 43 94 1.23 50.39
Individual criteria 0.310 EA dispenser within 100m 27 23 50 0.65 51.04
Individual criteria 0.318 EA dispenser within 100m 19 23 42 0.55 51.59
Individual criteria 0.331 EA dispenser within 100m 1398 1484 2882 37.72 89.31
Individual criteria 0.343 EA dispenser within 100m 11 2 13 0.17 89.48
Individual criteria 0.357 EA dispenser within 100m 280 298 578 7.56 97.04
Individual criteria 0.365 EA dispenser within 100m 95 87 182 2.38 99.42
Individual criteria 0.392 EA dispenser within 100m 25 19 44 0.58 100.00
Eligible 0.115 Has census-reported dispenser + EA dispenser within 100m 2549 2210 4759 62.28 62.28
Eligible 0.282 Has census-reported dispenser + EA dispenser within 100m 1398 1484 2882 37.72 100.00
num. of criteria met 0.016 Has census-reported dispenser + EA dispenser within 100m 11 8 19 0.25 0.25
num. of criteria met 0.034 Has census-reported dispenser + EA dispenser within 100m 75 59 134 1.75 2.00
num. of criteria met 0.071 Has census-reported dispenser + EA dispenser within 100m 508 485 993 13.00 15.00
num. of criteria met 0.143 Has census-reported dispenser + EA dispenser within 100m 1955 1658 3613 47.28 62.28
num. of criteria met 0.269 Has census-reported dispenser + EA dispenser within 100m 1398 1484 2882 37.72 100.00
Individual criteria 0.040 Has census-reported dispenser + EA dispenser within 100m 89 62 151 1.98 1.98
Individual criteria 0.046 Has census-reported dispenser + EA dispenser within 100m 28 28 56 0.73 2.71
Individual criteria 0.049 Has census-reported dispenser + EA dispenser within 100m 20 15 35 0.46 3.17
Individual criteria 0.056 Has census-reported dispenser + EA dispenser within 100m 11 8 19 0.25 3.42
Individual criteria 0.062 Has census-reported dispenser + EA dispenser within 100m 1529 1230 2759 36.11 39.52
Individual criteria 0.070 Has census-reported dispenser + EA dispenser within 100m 263 281 544 7.12 46.64
Individual criteria 0.076 Has census-reported dispenser + EA dispenser within 100m 85 77 162 2.12 48.76
Individual criteria 0.086 Has census-reported dispenser + EA dispenser within 100m 16 14 30 0.39 49.16
Individual criteria 0.196 Has census-reported dispenser + EA dispenser within 100m 51 43 94 1.23 50.39
Individual criteria 0.217 Has census-reported dispenser + EA dispenser within 100m 27 23 50 0.65 51.04
Individual criteria 0.230 Has census-reported dispenser + EA dispenser within 100m 19 23 42 0.55 51.59
Individual criteria 0.254 Has census-reported dispenser + EA dispenser within 100m 11 2 13 0.17 51.76
Individual criteria 0.280 Has census-reported dispenser + EA dispenser within 100m 1398 1484 2882 37.72 89.48
Individual criteria 0.306 Has census-reported dispenser + EA dispenser within 100m 280 298 578 7.56 97.04
Individual criteria 0.324 Has census-reported dispenser + EA dispenser within 100m 95 87 182 2.38 99.42
Individual criteria 0.352 Has census-reported dispenser + EA dispenser within 100m 25 19 44 0.58 100.00

Table 14 - Frequency of predicted probability of dispenser placement using Bayesian models in EA period with dispenser placement from WASH B periods

Table 14A - Frequency of predicted probability of dispenser placement using Bayesian models in EA period with predicted dispenser placement from WASH B models

Model Predicted probability (rounded to 3 decimals) Outcome Control Treatment Total number of sources Percentage of all sources Cumulative percentage
Eligible 0.107 Has census-reported dispenser 1368 1152 2520 32.98 32.98
Eligible 0.149 Has census-reported dispenser 912 781 1693 22.16 55.14
Eligible 0.242 Has census-reported dispenser 604 611 1215 15.90 71.04
Eligible 0.319 Has census-reported dispenser 443 494 937 12.26 83.30
Eligible 0.586 Has census-reported dispenser 269 277 546 7.15 90.45
Eligible 0.791 Has census-reported dispenser 351 379 730 9.55 100.00
num. of criteria met 0.021 Has census-reported dispenser 6 7 13 0.17 0.17
num. of criteria met 0.024 Has census-reported dispenser 3 0 3 0.04 0.21
num. of criteria met 0.037 Has census-reported dispenser 1 1 2 0.03 0.24
num. of criteria met 0.040 Has census-reported dispenser 42 30 72 0.94 1.18
num. of criteria met 0.042 Has census-reported dispenser 3 0 3 0.04 1.22
num. of criteria met 0.044 Has census-reported dispenser 11 12 23 0.30 1.52
num. of criteria met 0.068 Has census-reported dispenser 12 11 23 0.30 1.82
num. of criteria met 0.073 Has census-reported dispenser 250 240 490 6.41 8.23
num. of criteria met 0.077 Has census-reported dispenser 11 13 24 0.31 8.55
num. of criteria met 0.081 Has census-reported dispenser 108 77 185 2.42 10.97
num. of criteria met 0.122 Has census-reported dispenser 90 89 179 2.34 13.31
num. of criteria met 0.131 Has census-reported dispenser 1070 875 1945 25.45 38.76
num. of criteria met 0.138 Has census-reported dispenser 16 28 44 0.58 39.34
num. of criteria met 0.145 Has census-reported dispenser 340 265 605 7.92 47.26
num. of criteria met 0.210 Has census-reported dispenser 317 285 602 7.88 55.14
num. of criteria met 0.214 Has census-reported dispenser 1 0 1 0.01 55.15
num. of criteria met 0.226 Has census-reported dispenser 604 611 1215 15.90 71.05
num. of criteria met 0.236 Has census-reported dispenser 9 18 27 0.35 71.40
num. of criteria met 0.246 Has census-reported dispenser 172 180 352 4.61 76.01
num. of criteria met 0.339 Has census-reported dispenser 262 296 558 7.30 83.31
num. of criteria met 0.342 Has census-reported dispenser 7 6 13 0.17 83.48
num. of criteria met 0.499 Has census-reported dispenser 49 66 115 1.51 84.99
num. of criteria met 0.657 Has census-reported dispenser 212 205 417 5.46 90.45
num. of criteria met 0.787 Has census-reported dispenser 351 379 730 9.55 100.00
Individual criteria 0.042 Has census-reported dispenser 47 29 76 0.99 0.99
Individual criteria 0.046 Has census-reported dispenser 15 16 31 0.41 1.40
Individual criteria 0.049 Has census-reported dispenser 2 1 3 0.04 1.44
Individual criteria 0.051 Has census-reported dispenser 0 2 2 0.03 1.47
Individual criteria 0.052 Has census-reported dispenser 22 15 37 0.48 1.95
Individual criteria 0.054 Has census-reported dispenser 2 0 2 0.03 1.98
Individual criteria 0.057 Has census-reported dispenser 5 9 14 0.18 2.16
Individual criteria 0.062 Has census-reported dispenser 13 8 21 0.27 2.43
Individual criteria 0.066 Has census-reported dispenser 879 673 1552 20.31 22.75
Individual criteria 0.068 Has census-reported dispenser 6 7 13 0.17 22.92
Individual criteria 0.069 Has census-reported dispenser 9 9 18 0.24 23.15
Individual criteria 0.072 Has census-reported dispenser 1 0 1 0.01 23.16
Individual criteria 0.073 Has census-reported dispenser 125 146 271 3.55 26.71
Individual criteria 0.076 Has census-reported dispenser 3 2 5 0.07 26.78
Individual criteria 0.077 Has census-reported dispenser 13 20 33 0.43 27.21
Individual criteria 0.078 Has census-reported dispenser 1 1 2 0.03 27.23
Individual criteria 0.079 Has census-reported dispenser 0 1 1 0.01 27.25
Individual criteria 0.080 Has census-reported dispenser 10 9 19 0.25 27.50
Individual criteria 0.081 Has census-reported dispenser 266 214 480 6.28 33.78
Individual criteria 0.083 Has census-reported dispenser 6 4 10 0.13 33.91
Individual criteria 0.084 Has census-reported dispenser 2 0 2 0.03 33.94
Individual criteria 0.085 Has census-reported dispenser 7 6 13 0.17 34.11
Individual criteria 0.088 Has census-reported dispenser 6 5 11 0.14 34.25
Individual criteria 0.089 Has census-reported dispenser 53 42 95 1.24 35.49
Individual criteria 0.092 Has census-reported dispenser 2 1 3 0.04 35.53
Individual criteria 0.098 Has census-reported dispenser 44 39 83 1.09 36.62
Individual criteria 0.101 Has census-reported dispenser 4 3 7 0.09 36.71
Individual criteria 0.107 Has census-reported dispenser 223 192 415 5.43 42.14
Individual criteria 0.111 Has census-reported dispenser 1 1 2 0.03 42.17
Individual criteria 0.113 Has census-reported dispenser 1 5 6 0.08 42.25
Individual criteria 0.117 Has census-reported dispenser 2 0 2 0.03 42.27
Individual criteria 0.118 Has census-reported dispenser 38 47 85 1.11 43.38
Individual criteria 0.119 Has census-reported dispenser 15 8 23 0.30 43.69
Individual criteria 0.121 Has census-reported dispenser 4 9 13 0.17 43.86
Individual criteria 0.131 Has census-reported dispenser 4 2 6 0.08 43.93
Individual criteria 0.133 Has census-reported dispenser 3 2 5 0.07 44.00
Individual criteria 0.142 Has census-reported dispenser 23 15 38 0.50 44.50
Individual criteria 0.155 Has census-reported dispenser 22 19 41 0.54 45.03
Individual criteria 0.164 Has census-reported dispenser 26 22 48 0.63 45.66
Individual criteria 0.169 Has census-reported dispenser 2 3 5 0.07 45.73
Individual criteria 0.175 Has census-reported dispenser 2 0 2 0.03 45.75
Individual criteria 0.179 Has census-reported dispenser 13 7 20 0.26 46.01
Individual criteria 0.190 Has census-reported dispenser 1 3 4 0.05 46.07
Individual criteria 0.194 Has census-reported dispenser 1 0 1 0.01 46.08
Individual criteria 0.197 Has census-reported dispenser 6 1 7 0.09 46.17
Individual criteria 0.201 Has census-reported dispenser 0 3 3 0.04 46.21
Individual criteria 0.213 Has census-reported dispenser 1 0 1 0.01 46.22
Individual criteria 0.218 Has census-reported dispenser 1 0 1 0.01 46.24
Individual criteria 0.229 Has census-reported dispenser 11 12 23 0.30 46.54
Individual criteria 0.243 Has census-reported dispenser 604 611 1215 15.90 62.44
Individual criteria 0.247 Has census-reported dispenser 7 2 9 0.12 62.56
Individual criteria 0.249 Has census-reported dispenser 5 6 11 0.14 62.70
Individual criteria 0.259 Has census-reported dispenser 0 1 1 0.01 62.71
Individual criteria 0.263 Has census-reported dispenser 118 138 256 3.35 66.06
Individual criteria 0.266 Has census-reported dispenser 1 1 2 0.03 66.09
Individual criteria 0.269 Has census-reported dispenser 5 1 6 0.08 66.17
Individual criteria 0.270 Has census-reported dispenser 1 3 4 0.05 66.22
Individual criteria 0.274 Has census-reported dispenser 9 18 27 0.35 66.58
Individual criteria 0.276 Has census-reported dispenser 0 2 2 0.03 66.60
Individual criteria 0.283 Has census-reported dispenser 12 16 28 0.37 66.97
Individual criteria 0.286 Has census-reported dispenser 160 163 323 4.23 71.19
Individual criteria 0.290 Has census-reported dispenser 1 0 1 0.01 71.21
Individual criteria 0.293 Has census-reported dispenser 0 1 1 0.01 71.22
Individual criteria 0.296 Has census-reported dispenser 1 6 7 0.09 71.31
Individual criteria 0.297 Has census-reported dispenser 1 0 1 0.01 71.33
Individual criteria 0.304 Has census-reported dispenser 3 1 4 0.05 71.38
Individual criteria 0.308 Has census-reported dispenser 37 28 65 0.85 72.23
Individual criteria 0.313 Has census-reported dispenser 0 2 2 0.03 72.25
Individual criteria 0.314 Has census-reported dispenser 1 0 1 0.01 72.27
Individual criteria 0.317 Has census-reported dispenser 6 4 10 0.13 72.40
Individual criteria 0.328 Has census-reported dispenser 47 42 89 1.16 73.56
Individual criteria 0.333 Has census-reported dispenser 4 3 7 0.09 73.66
Individual criteria 0.335 Has census-reported dispenser 0 1 1 0.01 73.67
Individual criteria 0.340 Has census-reported dispenser 3 1 4 0.05 73.72
Individual criteria 0.351 Has census-reported dispenser 10 7 17 0.22 73.94
Individual criteria 0.353 Has census-reported dispenser 236 258 494 6.47 80.41
Individual criteria 0.356 Has census-reported dispenser 1 0 1 0.01 80.42
Individual criteria 0.365 Has census-reported dispenser 2 3 5 0.07 80.49
Individual criteria 0.374 Has census-reported dispenser 2 3 5 0.07 80.55
Individual criteria 0.377 Has census-reported dispenser 42 39 81 1.06 81.61
Individual criteria 0.378 Has census-reported dispenser 9 5 14 0.18 81.80
Individual criteria 0.386 Has census-reported dispenser 14 15 29 0.38 82.18
Individual criteria 0.388 Has census-reported dispenser 1 0 1 0.01 82.19
Individual criteria 0.398 Has census-reported dispenser 2 1 3 0.04 82.23
Individual criteria 0.402 Has census-reported dispenser 5 0 5 0.07 82.29
Individual criteria 0.411 Has census-reported dispenser 9 10 19 0.25 82.54
Individual criteria 0.429 Has census-reported dispenser 12 23 35 0.46 83.00
Individual criteria 0.434 Has census-reported dispenser 113 98 211 2.76 85.76
Individual criteria 0.435 Has census-reported dispenser 1 0 1 0.01 85.77
Individual criteria 0.452 Has census-reported dispenser 16 10 26 0.34 86.11
Individual criteria 0.454 Has census-reported dispenser 3 5 8 0.10 86.22
Individual criteria 0.459 Has census-reported dispenser 24 29 53 0.69 86.91
Individual criteria 0.477 Has census-reported dispenser 3 0 3 0.04 86.95
Individual criteria 0.512 Has census-reported dispenser 1 1 2 0.03 86.98
Individual criteria 0.531 Has census-reported dispenser 0 2 2 0.03 87.00
Individual criteria 0.536 Has census-reported dispenser 7 7 14 0.18 87.19
Individual criteria 0.560 Has census-reported dispenser 1 2 3 0.04 87.23
Individual criteria 0.674 Has census-reported dispenser 13 10 23 0.30 87.53
Individual criteria 0.695 Has census-reported dispenser 7 14 21 0.27 87.80
Individual criteria 0.755 Has census-reported dispenser 2 2 4 0.05 87.85
Individual criteria 0.772 Has census-reported dispenser 2 0 2 0.03 87.88
Individual criteria 0.777 Has census-reported dispenser 351 379 730 9.55 97.43
Individual criteria 0.794 Has census-reported dispenser 67 74 141 1.85 99.28
Individual criteria 0.838 Has census-reported dispenser 19 23 42 0.55 99.83
Individual criteria 0.851 Has census-reported dispenser 3 10 13 0.17 100.00
Eligible 0.114 EA dispenser within 100m 1368 1152 2520 32.98 32.98
Eligible 0.178 EA dispenser within 100m 912 781 1693 22.16 55.14
Eligible 0.197 EA dispenser within 100m 604 611 1215 15.90 71.04
Eligible 0.293 EA dispenser within 100m 443 494 937 12.26 83.30
Eligible 0.445 EA dispenser within 100m 269 277 546 7.15 90.45
Eligible 0.606 EA dispenser within 100m 351 379 730 9.55 100.00
num. of criteria met 0.040 EA dispenser within 100m 6 7 13 0.17 0.17
num. of criteria met 0.055 EA dispenser within 100m 3 0 3 0.04 0.21
num. of criteria met 0.060 EA dispenser within 100m 42 30 72 0.94 1.15
num. of criteria met 0.072 EA dispenser within 100m 1 1 2 0.03 1.18
num. of criteria met 0.079 EA dispenser within 100m 3 0 3 0.04 1.22
num. of criteria met 0.082 EA dispenser within 100m 11 12 23 0.30 1.52
num. of criteria met 0.089 EA dispenser within 100m 250 240 490 6.41 7.93
num. of criteria met 0.106 EA dispenser within 100m 12 11 23 0.30 8.23
num. of criteria met 0.117 EA dispenser within 100m 11 13 24 0.31 8.55
num. of criteria met 0.120 EA dispenser within 100m 108 77 185 2.42 10.97
num. of criteria met 0.130 EA dispenser within 100m 1070 875 1945 25.45 36.42
num. of criteria met 0.154 EA dispenser within 100m 90 89 179 2.34 38.76
num. of criteria met 0.169 EA dispenser within 100m 16 28 44 0.58 39.34
num. of criteria met 0.174 EA dispenser within 100m 340 265 605 7.92 47.26
num. of criteria met 0.188 EA dispenser within 100m 604 611 1215 15.90 63.16
num. of criteria met 0.214 EA dispenser within 100m 1 0 1 0.01 63.17
num. of criteria met 0.219 EA dispenser within 100m 317 285 602 7.88 71.05
num. of criteria met 0.239 EA dispenser within 100m 9 18 27 0.35 71.40
num. of criteria met 0.246 EA dispenser within 100m 172 180 352 4.61 76.01
num. of criteria met 0.294 EA dispenser within 100m 7 6 13 0.17 76.18
num. of criteria met 0.303 EA dispenser within 100m 262 296 558 7.30 83.48
num. of criteria met 0.391 EA dispenser within 100m 49 66 115 1.51 84.99
num. of criteria met 0.497 EA dispenser within 100m 212 205 417 5.46 90.45
num. of criteria met 0.604 EA dispenser within 100m 351 379 730 9.55 100.00
Individual criteria 0.074 EA dispenser within 100m 47 29 76 0.99 0.99
Individual criteria 0.076 EA dispenser within 100m 13 8 21 0.27 1.27
Individual criteria 0.081 EA dispenser within 100m 15 16 31 0.41 1.68
Individual criteria 0.083 EA dispenser within 100m 6 7 13 0.17 1.85
Individual criteria 0.088 EA dispenser within 100m 879 673 1552 20.31 22.16
Individual criteria 0.092 EA dispenser within 100m 44 39 83 1.09 23.24
Individual criteria 0.097 EA dispenser within 100m 125 146 271 3.55 26.79
Individual criteria 0.101 EA dispenser within 100m 7 4 11 0.14 26.93
Individual criteria 0.104 EA dispenser within 100m 2 1 3 0.04 26.97
Individual criteria 0.106 EA dispenser within 100m 0 2 2 0.03 27.00
Individual criteria 0.107 EA dispenser within 100m 23 15 38 0.50 27.50
Individual criteria 0.111 EA dispenser within 100m 1 0 1 0.01 27.51
Individual criteria 0.113 EA dispenser within 100m 2 1 3 0.04 27.55
Individual criteria 0.117 EA dispenser within 100m 5 9 14 0.18 27.73
Individual criteria 0.119 EA dispenser within 100m 1 0 1 0.01 27.75
Individual criteria 0.121 EA dispenser within 100m 2 0 2 0.03 27.77
Individual criteria 0.124 EA dispenser within 100m 13 20 33 0.43 28.20
Individual criteria 0.126 EA dispenser within 100m 19 18 37 0.48 28.69
Individual criteria 0.128 EA dispenser within 100m 267 219 486 6.36 35.05
Individual criteria 0.130 EA dispenser within 100m 5 4 9 0.12 35.17
Individual criteria 0.131 EA dispenser within 100m 5 3 8 0.10 35.27
Individual criteria 0.133 EA dispenser within 100m 15 8 23 0.30 35.57
Individual criteria 0.135 EA dispenser within 100m 7 6 13 0.17 35.74
Individual criteria 0.136 EA dispenser within 100m 1 1 2 0.03 35.77
Individual criteria 0.138 EA dispenser within 100m 8 7 15 0.20 35.96
Individual criteria 0.139 EA dispenser within 100m 53 42 95 1.24 37.21
Individual criteria 0.142 EA dispenser within 100m 1 1 2 0.03 37.23
Individual criteria 0.144 EA dispenser within 100m 4 2 6 0.08 37.31
Individual criteria 0.150 EA dispenser within 100m 218 189 407 5.33 42.64
Individual criteria 0.154 EA dispenser within 100m 1 0 1 0.01 42.65
Individual criteria 0.156 EA dispenser within 100m 14 15 29 0.38 43.03
Individual criteria 0.162 EA dispenser within 100m 5 9 14 0.18 43.21
Individual criteria 0.163 EA dispenser within 100m 38 47 85 1.11 44.33
Individual criteria 0.167 EA dispenser within 100m 2 0 2 0.03 44.35
Individual criteria 0.169 EA dispenser within 100m 28 25 53 0.69 45.05
Individual criteria 0.174 EA dispenser within 100m 11 12 23 0.30 45.35
Individual criteria 0.176 EA dispenser within 100m 2 2 4 0.05 45.40
Individual criteria 0.177 EA dispenser within 100m 23 15 38 0.50 45.90
Individual criteria 0.182 EA dispenser within 100m 1 3 4 0.05 45.95
Individual criteria 0.183 EA dispenser within 100m 13 10 23 0.30 46.25
Individual criteria 0.188 EA dispenser within 100m 7 2 9 0.12 46.37
Individual criteria 0.192 EA dispenser within 100m 8 4 12 0.16 46.53
Individual criteria 0.198 EA dispenser within 100m 1 0 1 0.01 46.54
Individual criteria 0.200 EA dispenser within 100m 604 611 1215 15.90 62.44
Individual criteria 0.206 EA dispenser within 100m 47 42 89 1.16 63.60
Individual criteria 0.216 EA dispenser within 100m 118 138 256 3.35 66.95
Individual criteria 0.222 EA dispenser within 100m 10 7 17 0.22 67.18
Individual criteria 0.232 EA dispenser within 100m 1 0 1 0.01 67.19
Individual criteria 0.234 EA dispenser within 100m 6 2 8 0.10 67.29
Individual criteria 0.238 EA dispenser within 100m 1 1 2 0.03 67.32
Individual criteria 0.240 EA dispenser within 100m 1 3 4 0.05 67.37
Individual criteria 0.252 EA dispenser within 100m 1 0 1 0.01 67.39
Individual criteria 0.258 EA dispenser within 100m 1 0 1 0.01 67.40
Individual criteria 0.266 EA dispenser within 100m 9 18 27 0.35 67.75
Individual criteria 0.270 EA dispenser within 100m 5 6 11 0.14 67.90
Individual criteria 0.271 EA dispenser within 100m 12 16 28 0.37 68.26
Individual criteria 0.273 EA dispenser within 100m 2 2 4 0.05 68.32
Individual criteria 0.274 EA dispenser within 100m 160 163 323 4.23 72.54
Individual criteria 0.276 EA dispenser within 100m 4 3 7 0.09 72.63
Individual criteria 0.277 EA dispenser within 100m 0 1 1 0.01 72.65
Individual criteria 0.278 EA dispenser within 100m 2 3 5 0.07 72.71
Individual criteria 0.281 EA dispenser within 100m 9 5 14 0.18 72.90
Individual criteria 0.286 EA dispenser within 100m 1 6 7 0.09 72.99
Individual criteria 0.287 EA dispenser within 100m 0 2 2 0.03 73.01
Individual criteria 0.289 EA dispenser within 100m 5 1 6 0.08 73.09
Individual criteria 0.291 EA dispenser within 100m 3 1 4 0.05 73.14
Individual criteria 0.293 EA dispenser within 100m 38 29 67 0.88 74.02
Individual criteria 0.295 EA dispenser within 100m 1 0 1 0.01 74.03
Individual criteria 0.297 EA dispenser within 100m 1 0 1 0.01 74.05
Individual criteria 0.298 EA dispenser within 100m 2 1 3 0.04 74.09
Individual criteria 0.300 EA dispenser within 100m 5 0 5 0.07 74.15
Individual criteria 0.307 EA dispenser within 100m 1 0 1 0.01 74.17
Individual criteria 0.310 EA dispenser within 100m 0 2 2 0.03 74.19
Individual criteria 0.311 EA dispenser within 100m 6 4 10 0.13 74.32
Individual criteria 0.313 EA dispenser within 100m 236 258 494 6.47 80.79
Individual criteria 0.317 EA dispenser within 100m 1 3 4 0.05 80.84
Individual criteria 0.320 EA dispenser within 100m 16 10 26 0.34 81.18
Individual criteria 0.330 EA dispenser within 100m 0 1 1 0.01 81.19
Individual criteria 0.332 EA dispenser within 100m 17 16 33 0.43 81.63
Individual criteria 0.334 EA dispenser within 100m 42 39 81 1.06 82.69
Individual criteria 0.338 EA dispenser within 100m 1 0 1 0.01 82.70
Individual criteria 0.341 EA dispenser within 100m 3 0 3 0.04 82.74
Individual criteria 0.354 EA dispenser within 100m 8 7 15 0.20 82.93
Individual criteria 0.357 EA dispenser within 100m 12 23 35 0.46 83.39
Individual criteria 0.358 EA dispenser within 100m 113 98 211 2.76 86.15
Individual criteria 0.361 EA dispenser within 100m 1 1 2 0.03 86.18
Individual criteria 0.364 EA dispenser within 100m 0 2 2 0.03 86.21
Individual criteria 0.365 EA dispenser within 100m 7 7 14 0.18 86.39
Individual criteria 0.379 EA dispenser within 100m 3 5 8 0.10 86.49
Individual criteria 0.380 EA dispenser within 100m 24 29 53 0.69 87.19
Individual criteria 0.387 EA dispenser within 100m 1 2 3 0.04 87.23
Individual criteria 0.534 EA dispenser within 100m 13 10 23 0.30 87.53
Individual criteria 0.540 EA dispenser within 100m 2 2 4 0.05 87.58
Individual criteria 0.557 EA dispenser within 100m 7 14 21 0.27 87.85
Individual criteria 0.563 EA dispenser within 100m 2 0 2 0.03 87.88
Individual criteria 0.589 EA dispenser within 100m 351 379 730 9.55 97.43
Individual criteria 0.594 EA dispenser within 100m 19 23 42 0.55 97.98
Individual criteria 0.612 EA dispenser within 100m 67 74 141 1.85 99.83
Individual criteria 0.616 EA dispenser within 100m 3 10 13 0.17 100.00
Eligible 0.057 Has census-reported dispenser + EA dispenser within 100m 1368 1152 2520 32.98 32.98
Eligible 0.111 Has census-reported dispenser + EA dispenser within 100m 912 781 1693 22.16 55.14
Eligible 0.132 Has census-reported dispenser + EA dispenser within 100m 604 611 1215 15.90 71.04
Eligible 0.237 Has census-reported dispenser + EA dispenser within 100m 443 494 937 12.26 83.30
Eligible 0.359 Has census-reported dispenser + EA dispenser within 100m 269 277 546 7.15 90.45
Eligible 0.583 Has census-reported dispenser + EA dispenser within 100m 351 379 730 9.55 100.00
num. of criteria met 0.011 Has census-reported dispenser + EA dispenser within 100m 6 7 13 0.17 0.17
num. of criteria met 0.018 Has census-reported dispenser + EA dispenser within 100m 3 0 3 0.04 0.21
num. of criteria met 0.021 Has census-reported dispenser + EA dispenser within 100m 42 30 72 0.94 1.15
num. of criteria met 0.025 Has census-reported dispenser + EA dispenser within 100m 1 1 2 0.03 1.18
num. of criteria met 0.032 Has census-reported dispenser + EA dispenser within 100m 3 0 3 0.04 1.22
num. of criteria met 0.033 Has census-reported dispenser + EA dispenser within 100m 11 12 23 0.30 1.52
num. of criteria met 0.038 Has census-reported dispenser + EA dispenser within 100m 250 240 490 6.41 7.93
num. of criteria met 0.046 Has census-reported dispenser + EA dispenser within 100m 12 11 23 0.30 8.23
num. of criteria met 0.059 Has census-reported dispenser + EA dispenser within 100m 11 13 24 0.31 8.55
num. of criteria met 0.061 Has census-reported dispenser + EA dispenser within 100m 108 77 185 2.42 10.97
num. of criteria met 0.070 Has census-reported dispenser + EA dispenser within 100m 1070 875 1945 25.45 36.42
num. of criteria met 0.083 Has census-reported dispenser + EA dispenser within 100m 90 89 179 2.34 38.76
num. of criteria met 0.099 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 38.78
num. of criteria met 0.106 Has census-reported dispenser + EA dispenser within 100m 16 28 44 0.58 39.35
num. of criteria met 0.110 Has census-reported dispenser + EA dispenser within 100m 340 265 605 7.92 47.27
num. of criteria met 0.124 Has census-reported dispenser + EA dispenser within 100m 604 611 1215 15.90 63.17
num. of criteria met 0.146 Has census-reported dispenser + EA dispenser within 100m 317 285 602 7.88 71.05
num. of criteria met 0.170 Has census-reported dispenser + EA dispenser within 100m 7 6 13 0.17 71.22
num. of criteria met 0.184 Has census-reported dispenser + EA dispenser within 100m 9 18 27 0.35 71.57
num. of criteria met 0.190 Has census-reported dispenser + EA dispenser within 100m 172 180 352 4.61 76.18
num. of criteria met 0.246 Has census-reported dispenser + EA dispenser within 100m 262 296 558 7.30 83.48
num. of criteria met 0.279 Has census-reported dispenser + EA dispenser within 100m 49 66 115 1.51 84.99
num. of criteria met 0.423 Has census-reported dispenser + EA dispenser within 100m 212 205 417 5.46 90.45
num. of criteria met 0.582 Has census-reported dispenser + EA dispenser within 100m 351 379 730 9.55 100.00
Individual criteria 0.020 Has census-reported dispenser + EA dispenser within 100m 47 29 76 0.99 0.99
Individual criteria 0.022 Has census-reported dispenser + EA dispenser within 100m 13 8 21 0.27 1.27
Individual criteria 0.023 Has census-reported dispenser + EA dispenser within 100m 15 16 31 0.41 1.68
Individual criteria 0.025 Has census-reported dispenser + EA dispenser within 100m 6 7 13 0.17 1.85
Individual criteria 0.033 Has census-reported dispenser + EA dispenser within 100m 879 673 1552 20.31 22.16
Individual criteria 0.036 Has census-reported dispenser + EA dispenser within 100m 46 40 86 1.13 23.28
Individual criteria 0.037 Has census-reported dispenser + EA dispenser within 100m 0 2 2 0.03 23.31
Individual criteria 0.038 Has census-reported dispenser + EA dispenser within 100m 147 161 308 4.03 27.34
Individual criteria 0.039 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 27.35
Individual criteria 0.040 Has census-reported dispenser + EA dispenser within 100m 8 4 12 0.16 27.51
Individual criteria 0.041 Has census-reported dispenser + EA dispenser within 100m 2 1 3 0.04 27.55
Individual criteria 0.042 Has census-reported dispenser + EA dispenser within 100m 5 9 14 0.18 27.73
Individual criteria 0.045 Has census-reported dispenser + EA dispenser within 100m 3 0 3 0.04 27.77
Individual criteria 0.046 Has census-reported dispenser + EA dispenser within 100m 9 9 18 0.24 28.01
Individual criteria 0.049 Has census-reported dispenser + EA dispenser within 100m 3 3 6 0.08 28.09
Individual criteria 0.050 Has census-reported dispenser + EA dispenser within 100m 1 1 2 0.03 28.11
Individual criteria 0.052 Has census-reported dispenser + EA dispenser within 100m 2 2 4 0.05 28.16
Individual criteria 0.055 Has census-reported dispenser + EA dispenser within 100m 1 1 2 0.03 28.19
Individual criteria 0.057 Has census-reported dispenser + EA dispenser within 100m 2 1 3 0.04 28.23
Individual criteria 0.059 Has census-reported dispenser + EA dispenser within 100m 13 20 33 0.43 28.66
Individual criteria 0.060 Has census-reported dispenser + EA dispenser within 100m 11 9 20 0.26 28.92
Individual criteria 0.061 Has census-reported dispenser + EA dispenser within 100m 266 214 480 6.28 35.20
Individual criteria 0.062 Has census-reported dispenser + EA dispenser within 100m 5 4 9 0.12 35.32
Individual criteria 0.063 Has census-reported dispenser + EA dispenser within 100m 2 5 7 0.09 35.41
Individual criteria 0.065 Has census-reported dispenser + EA dispenser within 100m 17 8 25 0.33 35.74
Individual criteria 0.066 Has census-reported dispenser + EA dispenser within 100m 7 6 13 0.17 35.91
Individual criteria 0.068 Has census-reported dispenser + EA dispenser within 100m 59 47 106 1.39 37.30
Individual criteria 0.073 Has census-reported dispenser + EA dispenser within 100m 4 2 6 0.08 37.38
Individual criteria 0.074 Has census-reported dispenser + EA dispenser within 100m 216 188 404 5.29 42.66
Individual criteria 0.079 Has census-reported dispenser + EA dispenser within 100m 14 15 29 0.38 43.04
Individual criteria 0.081 Has census-reported dispenser + EA dispenser within 100m 4 9 13 0.17 43.21
Individual criteria 0.083 Has census-reported dispenser + EA dispenser within 100m 38 47 85 1.11 44.33
Individual criteria 0.084 Has census-reported dispenser + EA dispenser within 100m 26 22 48 0.63 44.95
Individual criteria 0.087 Has census-reported dispenser + EA dispenser within 100m 2 0 2 0.03 44.98
Individual criteria 0.089 Has census-reported dispenser + EA dispenser within 100m 2 3 5 0.07 45.05
Individual criteria 0.090 Has census-reported dispenser + EA dispenser within 100m 11 12 23 0.30 45.35
Individual criteria 0.091 Has census-reported dispenser + EA dispenser within 100m 25 17 42 0.55 45.90
Individual criteria 0.094 Has census-reported dispenser + EA dispenser within 100m 13 7 20 0.26 46.16
Individual criteria 0.097 Has census-reported dispenser + EA dispenser within 100m 1 6 7 0.09 46.25
Individual criteria 0.100 Has census-reported dispenser + EA dispenser within 100m 7 2 9 0.12 46.37
Individual criteria 0.102 Has census-reported dispenser + EA dispenser within 100m 8 4 12 0.16 46.53
Individual criteria 0.108 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 46.54
Individual criteria 0.133 Has census-reported dispenser + EA dispenser within 100m 604 611 1215 15.90 62.44
Individual criteria 0.141 Has census-reported dispenser + EA dispenser within 100m 47 42 89 1.16 63.60
Individual criteria 0.145 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 63.62
Individual criteria 0.147 Has census-reported dispenser + EA dispenser within 100m 12 5 17 0.22 63.84
Individual criteria 0.148 Has census-reported dispenser + EA dispenser within 100m 118 138 256 3.35 67.19
Individual criteria 0.150 Has census-reported dispenser + EA dispenser within 100m 0 1 1 0.01 67.20
Individual criteria 0.153 Has census-reported dispenser + EA dispenser within 100m 1 1 2 0.03 67.23
Individual criteria 0.155 Has census-reported dispenser + EA dispenser within 100m 2 6 8 0.10 67.33
Individual criteria 0.157 Has census-reported dispenser + EA dispenser within 100m 10 7 17 0.22 67.56
Individual criteria 0.163 Has census-reported dispenser + EA dispenser within 100m 4 1 5 0.07 67.62
Individual criteria 0.172 Has census-reported dispenser + EA dispenser within 100m 2 0 2 0.03 67.65
Individual criteria 0.175 Has census-reported dispenser + EA dispenser within 100m 5 6 11 0.14 67.79
Individual criteria 0.184 Has census-reported dispenser + EA dispenser within 100m 4 3 7 0.09 67.88
Individual criteria 0.190 Has census-reported dispenser + EA dispenser within 100m 0 2 2 0.03 67.91
Individual criteria 0.193 Has census-reported dispenser + EA dispenser within 100m 5 1 6 0.08 67.99
Individual criteria 0.199 Has census-reported dispenser + EA dispenser within 100m 0 1 1 0.01 68.00
Individual criteria 0.203 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 68.01
Individual criteria 0.209 Has census-reported dispenser + EA dispenser within 100m 1 2 3 0.04 68.05
Individual criteria 0.217 Has census-reported dispenser + EA dispenser within 100m 9 18 27 0.35 68.41
Individual criteria 0.222 Has census-reported dispenser + EA dispenser within 100m 12 16 28 0.37 68.77
Individual criteria 0.224 Has census-reported dispenser + EA dispenser within 100m 273 261 534 6.99 75.76
Individual criteria 0.228 Has census-reported dispenser + EA dispenser within 100m 2 3 5 0.07 75.83
Individual criteria 0.229 Has census-reported dispenser + EA dispenser within 100m 0 1 1 0.01 75.84
Individual criteria 0.233 Has census-reported dispenser + EA dispenser within 100m 2 3 5 0.07 75.91
Individual criteria 0.235 Has census-reported dispenser + EA dispenser within 100m 7 7 14 0.18 76.09
Individual criteria 0.236 Has census-reported dispenser + EA dispenser within 100m 9 5 14 0.18 76.27
Individual criteria 0.239 Has census-reported dispenser + EA dispenser within 100m 1 6 7 0.09 76.36
Individual criteria 0.244 Has census-reported dispenser + EA dispenser within 100m 3 1 4 0.05 76.42
Individual criteria 0.246 Has census-reported dispenser + EA dispenser within 100m 61 57 118 1.54 77.96
Individual criteria 0.250 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 77.97
Individual criteria 0.251 Has census-reported dispenser + EA dispenser within 100m 1 0 1 0.01 77.99
Individual criteria 0.256 Has census-reported dispenser + EA dispenser within 100m 2 1 3 0.04 78.03
Individual criteria 0.258 Has census-reported dispenser + EA dispenser within 100m 6 2 8 0.10 78.13
Individual criteria 0.263 Has census-reported dispenser + EA dispenser within 100m 236 258 494 6.47 84.60
Individual criteria 0.275 Has census-reported dispenser + EA dispenser within 100m 16 10 26 0.34 84.94
Individual criteria 0.282 Has census-reported dispenser + EA dispenser within 100m 14 15 29 0.38 85.32
Individual criteria 0.287 Has census-reported dispenser + EA dispenser within 100m 42 39 81 1.06 86.38
Individual criteria 0.300 Has census-reported dispenser + EA dispenser within 100m 3 0 3 0.04 86.42
Individual criteria 0.308 Has census-reported dispenser + EA dispenser within 100m 20 30 50 0.65 87.07
Individual criteria 0.321 Has census-reported dispenser + EA dispenser within 100m 1 3 4 0.05 87.12
Individual criteria 0.334 Has census-reported dispenser + EA dispenser within 100m 3 5 8 0.10 87.23
Individual criteria 0.428 Has census-reported dispenser + EA dispenser within 100m 13 10 23 0.30 87.53
Individual criteria 0.441 Has census-reported dispenser + EA dispenser within 100m 2 2 4 0.05 87.58
Individual criteria 0.457 Has census-reported dispenser + EA dispenser within 100m 7 14 21 0.27 87.85
Individual criteria 0.470 Has census-reported dispenser + EA dispenser within 100m 2 0 2 0.03 87.88
Individual criteria 0.562 Has census-reported dispenser + EA dispenser within 100m 351 379 730 9.55 97.43
Individual criteria 0.573 Has census-reported dispenser + EA dispenser within 100m 19 23 42 0.55 97.98
Individual criteria 0.591 Has census-reported dispenser + EA dispenser within 100m 67 74 141 1.85 99.83
Individual criteria 0.602 Has census-reported dispenser + EA dispenser within 100m 3 10 13 0.17 100.00

Table 14B - Frequency of predicted probability of dispenser placement using Bayesian models in EA period with actual dispenser placement from WASH B period

Model Predicted probability (rounded to 3 decimals) Outcome Control Treatment Total number of sources Percentage of all sources Cumulative percentage
Eligible 0.109 Has census-reported dispenser 1368 1152 2520 32.98 32.98
Eligible 0.138 Has census-reported dispenser 1178 848 2026 26.51 59.49
Eligible 0.240 Has census-reported dispenser 604 611 1215 15.90 75.40
Eligible 0.293 Has census-reported dispenser 785 534 1319 17.26 92.66
Eligible 0.766 Has census-reported dispenser 3 210 213 2.79 95.45
Eligible 0.894 Has census-reported dispenser 9 339 348 4.55 100.00
num. of criteria met 0.022 Has census-reported dispenser 6 7 13 0.17 0.17
num. of criteria met 0.028 Has census-reported dispenser 5 1 6 0.08 0.25
num. of criteria met 0.040 Has census-reported dispenser 42 30 72 0.94 1.19
num. of criteria met 0.052 Has census-reported dispenser 33 24 57 0.75 1.94
num. of criteria met 0.074 Has census-reported dispenser 250 240 490 6.41 8.35
num. of criteria met 0.095 Has census-reported dispenser 258 187 445 5.82 14.17
num. of criteria met 0.132 Has census-reported dispenser 1070 875 1945 25.45 39.63
num. of criteria met 0.167 Has census-reported dispenser 882 636 1518 19.87 59.49
num. of criteria met 0.226 Has census-reported dispenser 604 611 1215 15.90 75.40
num. of criteria met 0.277 Has census-reported dispenser 785 534 1319 17.26 92.66
num. of criteria met 0.543 Has census-reported dispenser 0 5 5 0.07 92.72
num. of criteria met 0.695 Has census-reported dispenser 0 58 58 0.76 93.48
num. of criteria met 0.814 Has census-reported dispenser 3 147 150 1.96 95.45
num. of criteria met 0.894 Has census-reported dispenser 9 339 348 4.55 100.00
Individual criteria 0.043 Has census-reported dispenser 47 29 76 0.99 0.99
Individual criteria 0.046 Has census-reported dispenser 15 16 31 0.41 1.40
Individual criteria 0.056 Has census-reported dispenser 42 29 71 0.93 2.33
Individual criteria 0.060 Has census-reported dispenser 13 11 24 0.31 2.64
Individual criteria 0.062 Has census-reported dispenser 879 673 1552 20.31 22.96
Individual criteria 0.066 Has census-reported dispenser 125 146 271 3.55 26.50
Individual criteria 0.072 Has census-reported dispenser 13 8 21 0.27 26.78
Individual criteria 0.077 Has census-reported dispenser 6 7 13 0.17 26.95
Individual criteria 0.081 Has census-reported dispenser 649 493 1142 14.95 41.89
Individual criteria 0.086 Has census-reported dispenser 138 108 246 3.22 45.11
Individual criteria 0.093 Has census-reported dispenser 7 5 12 0.16 45.27
Individual criteria 0.100 Has census-reported dispenser 5 1 6 0.08 45.35
Individual criteria 0.104 Has census-reported dispenser 44 39 83 1.09 46.43
Individual criteria 0.111 Has census-reported dispenser 7 4 11 0.14 46.58
Individual criteria 0.133 Has census-reported dispenser 41 32 73 0.96 47.53
Individual criteria 0.142 Has census-reported dispenser 9 8 17 0.22 47.76
Individual criteria 0.178 Has census-reported dispenser 26 22 48 0.63 48.38
Individual criteria 0.189 Has census-reported dispenser 13 7 20 0.26 48.65
Individual criteria 0.224 Has census-reported dispenser 25 17 42 0.55 49.20
Individual criteria 0.236 Has census-reported dispenser 14 6 20 0.26 49.46
Individual criteria 0.245 Has census-reported dispenser 604 611 1215 15.90 65.36
Individual criteria 0.258 Has census-reported dispenser 118 138 256 3.35 68.71
Individual criteria 0.271 Has census-reported dispenser 11 12 23 0.30 69.01
Individual criteria 0.286 Has census-reported dispenser 7 2 9 0.12 69.13
Individual criteria 0.301 Has census-reported dispenser 785 534 1319 17.26 86.39
Individual criteria 0.317 Has census-reported dispenser 160 96 256 3.35 89.74
Individual criteria 0.331 Has census-reported dispenser 8 8 16 0.21 89.95
Individual criteria 0.347 Has census-reported dispenser 4 0 4 0.05 90.00
Individual criteria 0.360 Has census-reported dispenser 47 42 89 1.16 91.17
Individual criteria 0.377 Has census-reported dispenser 10 7 17 0.22 91.39
Individual criteria 0.428 Has census-reported dispenser 48 30 78 1.02 92.41
Individual criteria 0.445 Has census-reported dispenser 15 4 19 0.25 92.66
Individual criteria 0.525 Has census-reported dispenser 0 4 4 0.05 92.71
Individual criteria 0.543 Has census-reported dispenser 0 1 1 0.01 92.72
Individual criteria 0.628 Has census-reported dispenser 1 64 65 0.85 93.57
Individual criteria 0.645 Has census-reported dispenser 0 27 27 0.35 93.93
Individual criteria 0.653 Has census-reported dispenser 0 2 2 0.03 93.95
Individual criteria 0.743 Has census-reported dispenser 0 6 6 0.08 94.03
Individual criteria 0.755 Has census-reported dispenser 0 2 2 0.03 94.06
Individual criteria 0.842 Has census-reported dispenser 0 4 4 0.05 94.11
Individual criteria 0.851 Has census-reported dispenser 0 10 10 0.13 94.24
Individual criteria 0.893 Has census-reported dispenser 9 339 348 4.55 98.80
Individual criteria 0.899 Has census-reported dispenser 2 64 66 0.86 99.66
Individual criteria 0.901 Has census-reported dispenser 0 3 3 0.04 99.70
Individual criteria 0.934 Has census-reported dispenser 0 15 15 0.20 99.90
Individual criteria 0.938 Has census-reported dispenser 0 8 8 0.10 100.00
Eligible 0.118 EA dispenser within 100m 1368 1152 2520 32.98 32.98
Eligible 0.168 EA dispenser within 100m 1178 848 2026 26.51 59.49
Eligible 0.192 EA dispenser within 100m 604 611 1215 15.90 75.40
Eligible 0.265 EA dispenser within 100m 785 534 1319 17.26 92.66
Eligible 0.560 EA dispenser within 100m 3 210 213 2.79 95.45
Eligible 0.694 EA dispenser within 100m 9 339 348 4.55 100.00
num. of criteria met 0.043 EA dispenser within 100m 6 7 13 0.17 0.17
num. of criteria met 0.063 EA dispenser within 100m 42 30 72 0.94 1.11
num. of criteria met 0.064 EA dispenser within 100m 5 1 6 0.08 1.19
num. of criteria met 0.091 EA dispenser within 100m 250 240 490 6.41 7.60
num. of criteria met 0.093 EA dispenser within 100m 33 24 57 0.75 8.35
num. of criteria met 0.131 EA dispenser within 100m 1070 875 1945 25.45 33.80
num. of criteria met 0.133 EA dispenser within 100m 258 187 445 5.82 39.63
num. of criteria met 0.185 EA dispenser within 100m 604 611 1215 15.90 55.53
num. of criteria met 0.187 EA dispenser within 100m 882 636 1518 19.87 75.40
num. of criteria met 0.258 EA dispenser within 100m 785 534 1319 17.26 92.66
num. of criteria met 0.396 EA dispenser within 100m 0 5 5 0.07 92.72
num. of criteria met 0.496 EA dispenser within 100m 0 58 58 0.76 93.48
num. of criteria met 0.597 EA dispenser within 100m 3 147 150 1.96 95.45
num. of criteria met 0.690 EA dispenser within 100m 9 339 348 4.55 100.00
Individual criteria 0.079 EA dispenser within 100m 47 29 76 0.99 0.99
Individual criteria 0.085 EA dispenser within 100m 15 16 31 0.41 1.40
Individual criteria 0.088 EA dispenser within 100m 892 681 1573 20.59 21.99
Individual criteria 0.095 EA dispenser within 100m 131 153 284 3.72 25.70
Individual criteria 0.097 EA dispenser within 100m 44 39 83 1.09 26.79
Individual criteria 0.105 EA dispenser within 100m 7 4 11 0.14 26.93
Individual criteria 0.116 EA dispenser within 100m 42 29 71 0.93 27.86
Individual criteria 0.124 EA dispenser within 100m 13 11 24 0.31 28.18
Individual criteria 0.128 EA dispenser within 100m 656 498 1154 15.10 43.28
Individual criteria 0.137 EA dispenser within 100m 5 1 6 0.08 43.36
Individual criteria 0.138 EA dispenser within 100m 138 108 246 3.22 46.58
Individual criteria 0.141 EA dispenser within 100m 41 32 73 0.96 47.53
Individual criteria 0.152 EA dispenser within 100m 9 8 17 0.22 47.76
Individual criteria 0.178 EA dispenser within 100m 26 22 48 0.63 48.38
Individual criteria 0.191 EA dispenser within 100m 13 7 20 0.26 48.65
Individual criteria 0.195 EA dispenser within 100m 11 12 23 0.30 48.95
Individual criteria 0.196 EA dispenser within 100m 604 611 1215 15.90 64.85
Individual criteria 0.208 EA dispenser within 100m 7 2 9 0.12 64.97
Individual criteria 0.210 EA dispenser within 100m 118 138 256 3.35 68.32
Individual criteria 0.214 EA dispenser within 100m 47 42 89 1.16 69.48
Individual criteria 0.229 EA dispenser within 100m 10 7 17 0.22 69.70
Individual criteria 0.248 EA dispenser within 100m 25 17 42 0.55 70.25
Individual criteria 0.264 EA dispenser within 100m 14 6 20 0.26 70.51
Individual criteria 0.269 EA dispenser within 100m 8 8 16 0.21 70.72
Individual criteria 0.271 EA dispenser within 100m 785 534 1319 17.26 87.99
Individual criteria 0.285 EA dispenser within 100m 4 0 4 0.05 88.04
Individual criteria 0.288 EA dispenser within 100m 160 96 256 3.35 91.39
Individual criteria 0.293 EA dispenser within 100m 48 30 78 1.02 92.41
Individual criteria 0.311 EA dispenser within 100m 15 4 19 0.25 92.66
Individual criteria 0.426 EA dispenser within 100m 0 4 4 0.05 92.71
Individual criteria 0.446 EA dispenser within 100m 0 1 1 0.01 92.72
Individual criteria 0.451 EA dispenser within 100m 0 2 2 0.03 92.75
Individual criteria 0.458 EA dispenser within 100m 1 64 65 0.85 93.60
Individual criteria 0.478 EA dispenser within 100m 0 27 27 0.35 93.95
Individual criteria 0.483 EA dispenser within 100m 0 6 6 0.08 94.03
Individual criteria 0.503 EA dispenser within 100m 0 2 2 0.03 94.06
Individual criteria 0.651 EA dispenser within 100m 0 4 4 0.05 94.11
Individual criteria 0.669 EA dispenser within 100m 0 10 10 0.13 94.24
Individual criteria 0.672 EA dispenser within 100m 0 3 3 0.04 94.28
Individual criteria 0.682 EA dispenser within 100m 9 339 348 4.55 98.84
Individual criteria 0.699 EA dispenser within 100m 2 64 66 0.86 99.70
Individual criteria 0.701 EA dispenser within 100m 0 15 15 0.20 99.90
Individual criteria 0.718 EA dispenser within 100m 0 8 8 0.10 100.00
Eligible 0.059 Has census-reported dispenser + EA dispenser within 100m 1368 1152 2520 32.98 32.98
Eligible 0.105 Has census-reported dispenser + EA dispenser within 100m 1178 848 2026 26.51 59.49
Eligible 0.128 Has census-reported dispenser + EA dispenser within 100m 604 611 1215 15.90 75.40
Eligible 0.217 Has census-reported dispenser + EA dispenser within 100m 785 534 1319 17.26 92.66
Eligible 0.453 Has census-reported dispenser + EA dispenser within 100m 3 210 213 2.79 95.45
Eligible 0.661 Has census-reported dispenser + EA dispenser within 100m 9 339 348 4.55 100.00
num. of criteria met 0.011 Has census-reported dispenser + EA dispenser within 100m 6 7 13 0.17 0.17
num. of criteria met 0.021 Has census-reported dispenser + EA dispenser within 100m 47 31 78 1.02 1.19
num. of criteria met 0.038 Has census-reported dispenser + EA dispenser within 100m 250 240 490 6.41 7.60
num. of criteria met 0.039 Has census-reported dispenser + EA dispenser within 100m 33 24 57 0.75 8.35
num. of criteria met 0.069 Has census-reported dispenser + EA dispenser within 100m 1070 875 1945 25.45 33.80
num. of criteria met 0.070 Has census-reported dispenser + EA dispenser within 100m 258 187 445 5.82 39.63
num. of criteria met 0.124 Has census-reported dispenser + EA dispenser within 100m 604 611 1215 15.90 55.53
num. of criteria met 0.125 Has census-reported dispenser + EA dispenser within 100m 882 636 1518 19.87 75.40
num. of criteria met 0.213 Has census-reported dispenser + EA dispenser within 100m 785 534 1319 17.26 92.66
num. of criteria met 0.221 Has census-reported dispenser + EA dispenser within 100m 0 5 5 0.07 92.72
num. of criteria met 0.348 Has census-reported dispenser + EA dispenser within 100m 0 58 58 0.76 93.48
num. of criteria met 0.503 Has census-reported dispenser + EA dispenser within 100m 3 147 150 1.96 95.45
num. of criteria met 0.657 Has census-reported dispenser + EA dispenser within 100m 9 339 348 4.55 100.00
Individual criteria 0.023 Has census-reported dispenser + EA dispenser within 100m 47 29 76 0.99 0.99
Individual criteria 0.026 Has census-reported dispenser + EA dispenser within 100m 15 16 31 0.41 1.40
Individual criteria 0.028 Has census-reported dispenser + EA dispenser within 100m 13 8 21 0.27 1.68
Individual criteria 0.031 Has census-reported dispenser + EA dispenser within 100m 6 7 13 0.17 1.85
Individual criteria 0.033 Has census-reported dispenser + EA dispenser within 100m 879 673 1552 20.31 22.16
Individual criteria 0.037 Has census-reported dispenser + EA dispenser within 100m 125 146 271 3.55 25.70
Individual criteria 0.040 Has census-reported dispenser + EA dispenser within 100m 44 39 83 1.09 26.79
Individual criteria 0.044 Has census-reported dispenser + EA dispenser within 100m 42 29 71 0.93 27.72
Individual criteria 0.045 Has census-reported dispenser + EA dispenser within 100m 7 4 11 0.14 27.86
Individual criteria 0.049 Has census-reported dispenser + EA dispenser within 100m 13 11 24 0.31 28.18
Individual criteria 0.053 Has census-reported dispenser + EA dispenser within 100m 7 5 12 0.16 28.33
Individual criteria 0.058 Has census-reported dispenser + EA dispenser within 100m 5 1 6 0.08 28.41
Individual criteria 0.063 Has census-reported dispenser + EA dispenser within 100m 649 493 1142 14.95 43.36
Individual criteria 0.070 Has census-reported dispenser + EA dispenser within 100m 138 108 246 3.22 46.58
Individual criteria 0.075 Has census-reported dispenser + EA dispenser within 100m 41 32 73 0.96 47.53
Individual criteria 0.083 Has census-reported dispenser + EA dispenser within 100m 9 8 17 0.22 47.76
Individual criteria 0.095 Has census-reported dispenser + EA dispenser within 100m 26 22 48 0.63 48.38
Individual criteria 0.104 Has census-reported dispenser + EA dispenser within 100m 13 7 20 0.26 48.65
Individual criteria 0.111 Has census-reported dispenser + EA dispenser within 100m 11 12 23 0.30 48.95
Individual criteria 0.122 Has census-reported dispenser + EA dispenser within 100m 7 2 9 0.12 49.06
Individual criteria 0.131 Has census-reported dispenser + EA dispenser within 100m 604 611 1215 15.90 64.97
Individual criteria 0.144 Has census-reported dispenser + EA dispenser within 100m 118 138 256 3.35 68.32
Individual criteria 0.154 Has census-reported dispenser + EA dispenser within 100m 47 42 89 1.16 69.48
Individual criteria 0.167 Has census-reported dispenser + EA dispenser within 100m 25 17 42 0.55 70.03
Individual criteria 0.168 Has census-reported dispenser + EA dispenser within 100m 10 7 17 0.22 70.25
Individual criteria 0.182 Has census-reported dispenser + EA dispenser within 100m 14 6 20 0.26 70.51
Individual criteria 0.193 Has census-reported dispenser + EA dispenser within 100m 8 8 16 0.21 70.72
Individual criteria 0.210 Has census-reported dispenser + EA dispenser within 100m 4 0 4 0.05 70.78
Individual criteria 0.223 Has census-reported dispenser + EA dispenser within 100m 0 4 4 0.05 70.83
Individual criteria 0.225 Has census-reported dispenser + EA dispenser within 100m 785 534 1319 17.26 88.09
Individual criteria 0.242 Has census-reported dispenser + EA dispenser within 100m 0 1 1 0.01 88.10
Individual criteria 0.245 Has census-reported dispenser + EA dispenser within 100m 160 96 256 3.35 91.45
Individual criteria 0.255 Has census-reported dispenser + EA dispenser within 100m 0 2 2 0.03 91.48
Individual criteria 0.259 Has census-reported dispenser + EA dispenser within 100m 48 30 78 1.02 92.50
Individual criteria 0.280 Has census-reported dispenser + EA dispenser within 100m 15 4 19 0.25 92.75
Individual criteria 0.296 Has census-reported dispenser + EA dispenser within 100m 1 64 65 0.85 93.60
Individual criteria 0.319 Has census-reported dispenser + EA dispenser within 100m 0 27 27 0.35 93.95
Individual criteria 0.335 Has census-reported dispenser + EA dispenser within 100m 0 6 6 0.08 94.03
Individual criteria 0.359 Has census-reported dispenser + EA dispenser within 100m 0 2 2 0.03 94.06
Individual criteria 0.548 Has census-reported dispenser + EA dispenser within 100m 0 4 4 0.05 94.11
Individual criteria 0.574 Has census-reported dispenser + EA dispenser within 100m 0 10 10 0.13 94.24
Individual criteria 0.589 Has census-reported dispenser + EA dispenser within 100m 0 3 3 0.04 94.28
Individual criteria 0.647 Has census-reported dispenser + EA dispenser within 100m 9 339 348 4.55 98.84
Individual criteria 0.670 Has census-reported dispenser + EA dispenser within 100m 2 64 66 0.86 99.70
Individual criteria 0.683 Has census-reported dispenser + EA dispenser within 100m 0 15 15 0.20 99.90
Individual criteria 0.705 Has census-reported dispenser + EA dispenser within 100m 0 8 8 0.10 100.00

Table 15 - Balance table of average probability of dispenser placement in EA period with dispenser placement from WASH B period (Bayesian)

Table 15A - Balance table of average probability of dispenser placement in EA period with predicted dispenser placement from WASH B models (Bayesian)

Average Probability of Dispenser Placement
Treatment Group
Control
Treatment
Variable N Mean SD N Mean SD Test
Eligible (ea-i, ea-ii-v) (census-reported) 3947 0.25 0.21 3694 0.27 0.22 t=-3.69***
num. of criteria met (census-reported) 3947 0.26 0.21 3694 0.27 0.22 t=-3.4***
Individual criteria (census-reported) 3947 0.25 0.22 3694 0.27 0.23 t=-4.25***
Eligible (ea-i, ea-iii-v) (100m from EA dispenser) 3947 0.23 0.15 3694 0.24 0.15 t=-3.67***
num. of criteria met (100m from EA dispenser) 3947 0.23 0.15 3694 0.24 0.16 t=-3.41***
Individual criteria (100m from EA dispenser) 3947 0.22 0.16 3694 0.24 0.16 t=-4.27***
Eligible (ea-i, ea-iii-v) (100m from EA dispenser) 3947 0.17 0.15 3694 0.18 0.16 t=-3.62***
num. of criteria met (census-reported + 100m from EA dispenser) 3947 0.17 0.16 3694 0.18 0.16 t=-3.35***
Individual criteria (census-reported + 100m from EA dispenser) 3947 0.16 0.16 3694 0.18 0.17 t=-4.24***
Statistical significance markers: * p<0.1; ** p<0.05; *** p<0.01

Table 15B - Balance table of average probability of dispenser placement in EA period with actual dispenser placement from WASH B period (Bayesian)

Average Probability of Dispenser Placement
Treatment Group
Control
Treatment
Variable N Mean SD N Mean SD Test
Eligible (ea-i, ea-ii-v) (census-reported) 3947 0.18 0.082 3694 0.27 0.25 t=-22.47***
num. of criteria met (census-reported) 3947 0.18 0.077 3694 0.27 0.25 t=-22.57***
Individual criteria (census-reported) 3947 0.18 0.12 3694 0.27 0.26 t=-20.42***
Eligible (ea-i, ea-iii-v) (100m from EA dispenser) 3947 0.18 0.06 3694 0.24 0.18 t=-21.56***
num. of criteria met (100m from EA dispenser) 3947 0.17 0.059 3694 0.24 0.18 t=-21.46***
Individual criteria (100m from EA dispenser) 3947 0.17 0.079 3694 0.24 0.18 t=-20.04***
Eligible (ea-i, ea-iii-v) (100m from EA dispenser) 3947 0.12 0.063 3694 0.18 0.18 t=-20.92***
num. of criteria met (census-reported + 100m from EA dispenser) 3947 0.12 0.063 3694 0.18 0.18 t=-20.7***
Individual criteria (census-reported + 100m from EA dispenser) 3947 0.12 0.083 3694 0.18 0.19 t=-19.06***
Statistical significance markers: * p<0.1; ** p<0.05; *** p<0.01

Table 16 - Comparison of predicted dispenser placement between WASH B and EA period models among matched water sources

Match Type Percentage of matched sources
Match - IPA + Dispenser according to 2019-2021 Census 90.17
Match - IPA + EA dispenser within 100m 86.79
Match - IPA + Dispenser according to 2019-2021 Census + EA dispenser within 100m 88.04
Has dispenser - IPA + Dispenser according to 2019-2021 Census 12.16
Has dispenser - IPA + EA dispenser within 100m 9.17
Has dispenser - IPA + Dispenser according to 2019-2021 Census + EA dispenser within 100m 8.19

Table 17 - Comparison of expected dispenser placement and actual dispenser placement

Table 17A - Comparison of expected dispenser placement and actual dispenser placement using single-period models

Outcome Model Expected % Period Actual percentage of sources with a dispenser in training set treatment group
Has IPA dispenser Eligible 15.99 WASH B 15.83
Has IPA dispenser num. of criteria met 16.04 WASH B 15.83
Has IPA dispenser Individual criteria 15.99 WASH B 15.83
Has census-reported dispenser Eligible 26.76 EA period 27.42
Has census-reported dispenser num. of criteria met 26.57 EA period 27.42
Has census-reported dispenser Individual criteria 25.66 EA period 27.42
EA dispenser within 100m Eligible 23.97 EA period 24.09
EA dispenser within 100m num. of criteria met 23.82 EA period 24.09
EA dispenser within 100m Individual criteria 23.06 EA period 24.09
Has census-reported dispenser + EA dispenser within 100m Eligible 17.67 EA period 18.19
Has census-reported dispenser + EA dispenser within 100m num. of criteria met 17.96 EA period 18.19
Has census-reported dispenser + EA dispenser within 100m Individual criteria 17.22 EA period 18.19

Table 17B - Comparison of expected dispenser placement and actual dispenser placement using combined WASH B and EA period models

Outcome Model Expected % Period Actual percentage of sources with a dispenser in training set treatment group
Has census-reported dispenser Eligible 22.24 Actual WASH B dispenser placement 27.42
Has census-reported dispenser num. of criteria met 22.17 Actual WASH B dispenser placement 27.42
Has census-reported dispenser Individual criteria 22.05 Actual WASH B dispenser placement 27.42
EA dispenser within 100m Eligible 20.74 Actual WASH B dispenser placement 24.09
EA dispenser within 100m num. of criteria met 20.64 Actual WASH B dispenser placement 24.09
EA dispenser within 100m Individual criteria 20.34 Actual WASH B dispenser placement 24.09
Has census-reported dispenser + EA dispenser within 100m Eligible 14.87 Actual WASH B dispenser placement 18.19
Has census-reported dispenser + EA dispenser within 100m num. of criteria met 15.01 Actual WASH B dispenser placement 18.19
Has census-reported dispenser + EA dispenser within 100m Individual criteria 14.78 Actual WASH B dispenser placement 18.19
Has census-reported dispenser Eligible 26.64 Predicted WASH B dispenser placement 27.42
Has census-reported dispenser num. of criteria met 26.68 Predicted WASH B dispenser placement 27.42
Has census-reported dispenser Individual criteria 26.10 Predicted WASH B dispenser placement 27.42
EA dispenser within 100m Eligible 23.41 Predicted WASH B dispenser placement 24.09
EA dispenser within 100m num. of criteria met 23.69 Predicted WASH B dispenser placement 24.09
EA dispenser within 100m Individual criteria 23.38 Predicted WASH B dispenser placement 24.09
Has census-reported dispenser + EA dispenser within 100m Eligible 17.67 Predicted WASH B dispenser placement 18.19
Has census-reported dispenser + EA dispenser within 100m num. of criteria met 17.74 Predicted WASH B dispenser placement 18.19
Has census-reported dispenser + EA dispenser within 100m Individual criteria 17.50 Predicted WASH B dispenser placement 18.19

Table 18 - Balance table of average probability of dispenser placement in best EA period model

Average Probability of Dispenser Placement
Treatment Group
Control
Treatment
Variable N Mean SD N Mean SD Test
Has census-reported dispenser 3947 0.24 0.22 3694 0.27 0.23 t=-5.52***
EA dispenser within 100m 3947 0.22 0.15 3694 0.24 0.16 t=-5.71***
Has census-reported dispenser + EA dispenser within 100m 3947 0.16 0.16 3694 0.18 0.17 t=-5.79***
Statistical significance markers: * p<0.1; ** p<0.05; *** p<0.01

Figure 1 - Probability of dispenser placement using Bayesian models in WASH B period

Figure 2 - Comparison of Bayesian models across study periods

Figure 3 - Comparison of frequentist models using EA dispenser placement and census-reported placement

Figure 4 - Comparison of Bayesian model estimates using EA dispenser placement and census-reported placement

Figure 5 - Probability of dispenser placement using frequentist models in EA period

Figure 6 - Probability of dispenser placement using Bayesian models in EA period

Figure 7 - Probability of dispenser placement in EA period with dispenser placement from WASH B period (Bayesian)

Figure 7A - Probability of dispenser placement in EA period with predicted dispenser placement in WASH B period (Bayesian)

Figure 7B - Probability of dispenser placement in EA period with actual dispenser placement in WASH B period (Bayesian)

Figure 8 - Probability of dispenser placement in EA period with distance variables (Bayesian)

Figure 9 - Probability of dispenser placement in best EA period models (Bayesian)